On the full monomial automorphism groups of Reed–Solomon codes and their MDS-extensions


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详细

We determine the full monomial automorphism groups of Reed–Solomon codes and of theirMDS-extensions by adding one, two, and three symbols.We show that several Reed–Solomon codes, extended by two symbols, are equivalent to constacyclic codes and, under certain conditions, to cyclic codes.

作者简介

V. Kugurakov

Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies

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Email: vladimir.kugurakov@kpfu.ru
俄罗斯联邦, Kremlevskaya ul. 35, Kazan, Tatrstan, 420008

A. Gainutdinova

Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies

Email: vladimir.kugurakov@kpfu.ru
俄罗斯联邦, Kremlevskaya ul. 35, Kazan, Tatrstan, 420008


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